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		<a class="header-logo header-affix-hide margin-left-no margin-right-no" data-offset-top="213" data-spy="affix">[Usaco2013 Open]Figure Eight</a>
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                [Usaco2013 Open]Figure Eight                </h1>
                <p>时间限制：10s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：256MB</p>			</div>
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                                <h3>题目描述</h3><p><p><span style="font-size: medium">Farmer John's cows recently received a large piece of marble, which, unfortunately, has a number of imperfections. To describe these, we can represent the piece of marble by an N by N square grid (5 &lt;= N &lt;= 300), where the character '*' represents an imperfection and '.' represents a flawless section of the marble. The cows want to carve a number &quot;8&quot; in this piece of marble (cows are quite fond of the number &quot;8&quot; since they have cloven hooves on each of their four feet, so they can effectively count up to 8 using their &quot;toes&quot;). However, the cows need your help to determine the optimally placed figure eight in the piece of marble. Here are a few properties that define a valid figure eight: * A figure eight consists of two rectangles, a top and a bottom. * Both the top and bottom have at least one cell in their interior. * The bottom edge of the top rectangle is a (not necessarily proper) subset of the top edge of the bottom rectangle. * The figure eight can only be carved from flawless regions of the piece of marble. The aesthetic score of a figure eight is equal to the product of the areas enclosed by its two rectangles. The cows wish to maximize this score. For example, given this piece of marble </span></p>
<p><span style="font-size: medium">...............<br />
...............<br />
...*******.....<br />
.*....*.......*<br />
.*......*....*.<br />
....*..........<br />
...*...****....<br />
...............<br />
..**.*..*..*...<br />
...*...**.*....<br />
*..*...*.......<br />
...............<br />
.....*..*......<br />
.........*.....<br />
...............<br />
<span style="font-size: medium">the optimally placed eight is:</span><br />
..88888888888..<br />
..8.........8..<br />
..8*******..8..<br />
.*8...*.....8.*<br />
.*8.....*...8*.<br />
..8.*.......8..<br />
..8*...****.8..<br />
.88888888888888<br />
.8**.*..*..*..8<br />
.8.*...**.*...8<br />
*8.*...*......8<br />
.8............8<br />
.8...*..*.....8<br />
.8.......*....8<br />
.88888888888888&nbsp;</span><span style="font-size: medium"> </span></p>
<p><span style="font-size: medium">The top rectangle has area 6x9=54, and the bottom rectangle has area 12x6=72. Thus, its aesthetic score is 54x72=3888. </span></p></p><hr/><h3>输入格式</h3><p><p><font size="4">* Line 1: A single integer N, indicating the side length of the marble. </font></p>
<p><font size="4">* Lines 2..N+1: Each line describes a row of the marble, and contains N characters which are each either '*' (an imperfection) or '.' (a flawless section).&nbsp;</font></p></p><hr/><h3>输出格式</h3><p><p>&nbsp;Line 1: The highest aesthetic score of any figure eight which doesn't use any imperfect squares of the marble. If no figure eight is attainable, then output -1.&nbsp;</p></p><hr/><h3>样例输入</h3><pre>15
...............
...............
...*******.....
.*....*.......*
.*......*....*.
....*..........
...*...****....
...............
..**.*..*..*...
...*...**.*....
*..*...*.......
...............
.....*..*......
.........*.....
...............
</pre><hr/><h3>样例输出</h3><pre> 3888 </pre><hr/><h3>提示</h3><p>没有写明提示</p><hr/><h3>题目来源</h3><p>Gold
</p>
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